{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "e122bdab",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from sympy import *\n",
    "import math\n",
    "import dill\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.io as scio\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "3ba0b44a",
   "metadata": {},
   "outputs": [],
   "source": [
    "dataFile = u'D:\\Program Files\\MATLAB\\R2021b\\examples\\signal\\data\\\\relatedsig.mat'\n",
    "data = scio.loadmat(dataFile)\n",
    "s1=data['s1']\n",
    "s2=data['s2']\n",
    "s3=data['s3']\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "3829ab1c",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "plt.subplots_adjust(hspace = 0.3) \n",
    "plt.subplot(3,1,1)\n",
    "plt.plot(s1)\n",
    "plt.ylabel('s1')\n",
    "\n",
    "plt.subplot(3,1,2)\n",
    "plt.plot(s2)\n",
    "plt.ylabel('s2')\n",
    "\n",
    "plt.subplot(3,1,3)\n",
    "plt.plot(s3)\n",
    "plt.ylabel('s3')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "acdbe3ac",
   "metadata": {},
   "outputs": [],
   "source": [
    "def finddelay(x,y):\n",
    "    return len(y) - len(x)\n",
    "t21 = finddelay(s2,s1)\n",
    "t31 = finddelay(s3,s1)\n",
    "t32 = finddelay(s2,s3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "439b86bd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplots_adjust(hspace = 0.3) \n",
    "\n",
    "plt.subplot(3,1,1)\n",
    "plt.plot(s1[t21+1:])\n",
    "plt.ylabel('s1')\n",
    "plt.xlim(0,2500)\n",
    "\n",
    "plt.subplot(3,1,2)\n",
    "plt.plot(s2)\n",
    "plt.ylabel('s2')\n",
    "plt.xlim(0,2500)\n",
    "\n",
    "plt.subplot(3,1,3)\n",
    "plt.plot(s3[t32+1:])\n",
    "plt.ylabel('s3')\n",
    "plt.xlim(0,2500)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
